Skip to main content
Log in

Application of Weibull Parameter Estimation Methods for Fatigue Evaluation of Composite Materials Scatter

  • Original Paper
  • Published:
International Journal of Aeronautical and Space Sciences Aims and scope Submit manuscript

Abstract

Rotorcraft composite structures are required to satisfy desired reliability levels when analyzing the scatter of material properties at coupon and element levels in accordance with the Federal Aviation Regulations “FAR 29.573” and the Advisory Circular “AC 29.573”. By estimating the strength and life shape parameters from static and fatigue test results, load enhancement factors can be obtained. Thus, the uncertainties from the scatter of composite properties can be analyzed. However, depending on the Weibull parameter estimation and scatter analysis methods, the load enhancement factors may differ. Therefore, in this paper, improved Weibull parameter estimation and scatter analysis methods have been proposed. Baseline static and fatigue tests are conducted, and the test data are pooled to generate reliable shape parameters. The static-strength shape and fatigue-life shape parameters are evaluated for eight Weibull parameter estimation and three scatter analysis methods. Moreover, based on the strategies of the Weibull parameter estimation and scatter analysis methods, the load enhancement factors are evaluated as a function of test duration. Finally, the consequences of model selection on distribution fitting and the scatter analysis along with the effect of life factors and strength parameters on the load enhancement factors are discussed. As a result, more conservative load enhancement factors are obtained by applying various Weibull parameter estimation methods for the scatter analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Anonymous (2011) Damage Tolerance and Fatigue Evaluation of Composite Structures. Doc. No. FAA-2009-0060 Amdt. 29-59, 76 FR 74464

  2. Anonymous (2016) Certification of Transport Category Rotorcraft AC 29-2C. Change: 7, FAA

  3. Anonymous (2012) Composite materials handbook, CMH-3G

  4. Anonymous (2012) Composite materials handbook, CMH-1G

  5. Whitehead RS, et al, (1986) Certification testing methodology for composite structure, vol 1, 2. DOT/FAA/CT-86/39

  6. Seneviratne WP (2008) Fatigue life determination of a damage-tolerant composite airframe. Dissertation, Wichita State University

  7. Emmanuelle VIX (2010) The derivation of load enhancement factors for life testing of composites: final report, EASA

  8. Tomblin J, Seneviratne W (2011) Determining the fatigue life of composite aircraft structures using life and load-enhancement factors. DOT/FAA/AR-10/6

  9. Bergman B (1984) On the estimation of the Weibull modulus. J Mater Sci Lett 3:689–692

    Article  Google Scholar 

  10. Trustrum K, Jayatilaka ADS (1979) On estimating the Weibull modulus for a brittle material. J Mater Sci Lett 14(5):1080–1084

    Google Scholar 

  11. Langlois R (1991) Estimation of Weibull parameters. J Mater Sci Lett 10(18):1049–1051

    Article  Google Scholar 

  12. Yuan FQ et al (2015) Performance evaluation for maximum likelihood and moment parameter estimation methods on classical two Weibull distribution. IEEE. https://doi.org/10.1109/IEEM.2015.7385758

    Article  Google Scholar 

  13. Datsiou KC, Overend M (2018) Weibull parameter estimation and goodness-of-fit for glass strength data. Struct Saf 73:29–41

    Article  Google Scholar 

  14. Al-Fawzan MA (2000) Methods for estimating the parameters of the weibull distribution. King Abdulaziz City for Science and Technology, Saudi Arabia

    Google Scholar 

  15. Rust SW et al (1989) Statistical methods for calculating material allowables for MIL-HDBK-17, ASTM STP 1003

  16. Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech 18:293–297

    Article  Google Scholar 

  17. Abernerthy RB (2006) The new Weibull handbook. R. B Abernethy, Florida

    Google Scholar 

  18. Anonymous (2018) Standard practice for reporting uniaxial strength data and estimating Weibull distribution parameters for advanced ceramics, ASTM C1239-13

  19. Anonymous (2002) Composite materials handbook, CMH-2F

  20. Anonymous (2017) Standard test method for tensile properties of polymer matrix composite materials, ASTM D3039/3039M

  21. Sendeckyj GP (1981) Fitting model to composite materials fatigue data, test methods and design allowables for fibrous composites, ASTM STP 734

  22. Anonymous (2019) Standard test method for tension-tension fatigue of polymer matrix composite materials ASTM D3479/3479M.

Download references

Acknowledgements

This work was supported by Korea Agency for Infrastructure Technology Advancement (KAIA) and grant was funded by the Ministry of Land, Infrastructure and Transport (19CHTR-C128889-03).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to SangJoon Shin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lee, C., Gong, D. & Shin, S. Application of Weibull Parameter Estimation Methods for Fatigue Evaluation of Composite Materials Scatter. Int. J. Aeronaut. Space Sci. 22, 318–327 (2021). https://doi.org/10.1007/s42405-020-00309-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42405-020-00309-z

Keywords

Navigation